Finding the Third Proportional to 145,693 and 317,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,693 : 317,022.50 = 317,022.50 : x
2. Step 2: Convert to fraction form
   145,693/317,022.50 = 317,022.50/x
3. Step 3: Cross multiply
   145,693x = 317,022.50 × 317,022.50
4. Step 4: Simplify right side
   145,693x = 100,503,265,506.25
5. Step 5: Solve for x
   x = 100,503,265,506.25/145,693
6. Step 6: Final answer
   x = 689,829.06